Answer:
x = 16°
Step-by-step explanation:
The three internal angles of the triangle are:
180° - 91° = 89° (angles in a straight line)
180° - 105° = 75° (angles on a straight line)
x = x (vertical angles are congruent)
x + 89 + 75 = 180 (sum of interior angles of a ∆)
x + 164 = 180
x = 180 - 164 (subtraction property of equality)
x = 16°
Answer:
about 14.142ft
Step-by-step explanation:
A square has four equal sides.
The area of a square: length * width = area
Because you know that all of the sides are equal, you can just say:
length * length = area
Multiplying a value (in this case, length) by itself is the same thing as squaring it. So, you can simplify the equation further by writing:
length² = area
Fill in what you know:
length² = 200ft²
Now, work the problem backwards by taking the square root of 200 to find the length:
√length² = √200ft²
length = 14.142ft
So, each wall is 14.142ft long
You can test this by working the problem in reverse:
14.142ft * 14.142ft ≈ 200ft²
Quadratic formula is
'a' is the coefficient of x^2 = 4
'b' is the coefficient of x = 2
'c' is the constant = -1
Now we plug in all the values in quadratic formula
The above one is the substitution of values of a,b,c in quadratic formula.
Answer:
2827.43in²
Step-by-step explanation:
formula for area of a circle is r²π with r being the radius (30 in this case)
we can plug in 30 for r to solve for the area
30²π
900π
2827.43
that is the answer
- kan academy advance
Answer:
y=25x+7
Step-by-step explanation:
The equation will be in the form of y=mx+c where m is gradient/slope and c is constant,
normally referred as y intercept.
Slope is given by dividing change in y by change in x
Slope=(57-32)/(2-1)=25
Therefore slope is 25
For the first term
32=25(1)+c
C=32-25=7
Therefore, the general equation will be y=25x+7
